byCorrect Answer
White grub
Explanation
Species of *Heterorhabditis* are parasitic nematodes that effectively seek out and kill soil-dwelling insect larvae. They are widely used as a biocontrol agent against white grubs (larvae of scarab beetles), a common pest in soil.
Correct Answer
Cotton
Explanation
*Pectinophora gossypiella*, commonly known as the Pink Bollworm, is a major and highly destructive insect pest of cotton crops worldwide. Its larvae damage cotton bolls, affecting yield and lint quality.
Correct Answer
*Corcyra cephalonica*
Explanation
*Corcyra cephalonica*, the Rice Moth, is a significant pest of stored grains, particularly rice. The larvae feed on the grains and create webbing, causing considerable damage and loss during storage. *Tribolium* affects flour, *Callosobruchus* affects pulses, and *Systole* affects coriander.
Correct Answer
4.8 / (3 * 0.6)
Explanation
The relationship is given by r = Cov(X,Y) / (SD(X) * SD(Y)). First, find SD(X) = sqrt(Var(X)) = sqrt(9) = 3. Then rearrange the formula: SD(Y) = Cov(X,Y) / (SD(X) * r). Substitute the values: SD(Y) = 4.8 / (3 * 0.6).
Correct Answer
28
Explanation
Adding a constant value to each observation in a dataset shifts the mean by that same constant value. Therefore, the new mean will be the original mean plus the added constant: 25 + 3 = 28.
Correct Answer
Number of children in a family
Explanation
A discrete variable can only take specific, distinct values (usually integers) and cannot take intermediate values. The number of children (0, 1, 2, ...) fits this definition. Height, time, and wages are generally considered continuous variables as they can theoretically take any value within a range.
Correct Answer
7.5
Explanation
The Quartile Deviation (QD), or Semi-Interquartile Range, measures dispersion and is calculated as half the difference between the third and first quartiles: QD = (Q3 - Q1) / 2. So, QD = (20 - 5) / 2 = 15 / 2 = 7.5.
Correct Answer
Independent
Explanation
Statistical independence means that the occurrence or value of one variable does not affect the probability or value of the other variable. Correlation (positive, negative, or direct) implies some form of relationship or association exists between the variables.
Correct Answer
Mean deviation
Explanation
The Mean Deviation (or Mean Absolute Deviation) calculates the average distance of each data point from the mean (or another central point), ignoring the direction (using absolute values). It provides a measure of data spread.
Correct Answer
The square of the standard deviation
Explanation
Variance is a key measure of how spread out the numbers in a data set are. Mathematically, it is the average of the squared differences from the Mean, and it is equal to the square of the standard deviation (Variance = SD²).
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